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Normalization of D-instanton Amplitudes

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arxiv 2101.08566 v2 pith:WP7NBHGK submitted 2021-01-21 hep-th

classification hep-th
keywords stringamplitudesd-instantonnormalizationtheoryconstantfieldresults
verification ladder T0 review T1 audit T2 compute T3 formal
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D-instanton amplitudes suffer from various infrared divergences associated with tachyonic or massless open string modes, leading to ambiguous contribution to string amplitudes. It has been shown previously that string field theory can resolve these ambiguities and lead to unambiguous expressions for D-instanton contributions to string amplitudes, except for an overall normalization constant that remains undetermined. In this paper we show that string field theory, together with the world-sheet description of the amplitudes, can also fix this normalization constant. We apply our analysis to the special case of two dimensional string theory, obtaining results in agreement with the matrix model results obtained by Balthazar, Rodriguez and Yin.

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Cited by 2 Pith papers

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  1. Effective Field Theory of Noncritical M-theory from Bosonization

    hep-th 2026-07 conditional novelty 6.5 of 10

    Coadjoint-orbit bosonization of the Hořava-Keeler noncritical M-theory Fermi liquid yields a continuous family of interacting 1+1d chiral bosons whose density correlators match the exact Fermi liquid semiclassically.

  2. $c=1$, $R=1$ and $N\gg 1$: ZZ instantons in 2D String Theory and Matrix Integrals

    hep-th 2025-01 conditional novelty 6.0 of 10

    At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.

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